I don't think so. The point of these tests is to maintain the deterrent power of nukes by showing that they are still intact.
The West doing this by putting effort into all sorts of extremely advanced machinery like NIF in contrast to Russia having to resort to setting off nukes would be a convenient situation for propaganda, since it only makes Russia look even more like a warmongerer.
As for the advantage provided, IIRC the US has been performing "dry" tests, where a bomb with no nuclear material is detonated to verify the trigger mechanisms. That, combined with the tests at NIF and other facilties to verify the viability of the nuclear material, should be comparable in terms of verifying functionality.
Point of tests is to verify state of the pits after long storage. Plutonium is a bitch to manage because it is alpha-active and alpha particles are in essence, helium atoms, so over time a piece of plutonium gets full of helium caverns and develops internal tension. It's also very complex in terms of crystallic properties (has several stable crystal forms), which are impacted by temperatures and yes, those internal tensions. While it is modelled as much as possible, no one truly knows how good are the pits that were kept in storage for decades, anymore. They certainly still work, but whether they are good enough to properly initiate a secondary, no one really knows. Testing could be very instrumental in finding that out.
